Question

4 calculate the width of a 80 tv if the tv has an aspect ratio of 21:9. 73.5 56 87 34.3

Explanation:

Step1: Let the width be \(21x\) and height be \(9x\)

For a TV, the diagonal \(d\) is related to width \(w = 21x\) and height \(h=9x\) by the Pythagorean theorem \(d^{2}=w^{2}+h^{2}\). Given \(d = 80\) inches. So, \(80^{2}=(21x)^{2}+(9x)^{2}\).

Step2: Simplify the equation

$$
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Step3: Calculate the width

Width \(w = 21x\). Substitute \(x\approx3.5\) into \(w = 21x\), we get \(w=21\times3.5 = 73.5\) inches.

Answer:

73.5"